Question

What is the period of `f(theta)= sin 4 t - cos 12 t`?

Answer 1

`pi/2`

Explanation:

Period of sin t --> `2pi`
Period of sin 4t --> `(2pi)/4 = pi/2`
Period of cos t --> `2pi`
Period of cos 12t --> `(2pi)/12 = pi/6`
Common period for f(t) --> least multiple of `pi/2 and pi/6` --> it is `pi/2`